Open AccessThe generalized Heronian mean and its inequalities
Author(s) -
Kaizhong Guan,
Huantao Zhu
Publication year - 2006
Publication title -
publikacija elektrotehnickog fakulteta - serija matematika
Language(s) - English
Resource type - Journals
eISSN - 2406-0852
pISSN - 0353-8893
DOI - 10.2298/petf0617060g
Subject(s) - mathematics , convexity , inequality , class (philosophy) , type (biology) , mathematical analysis , computer science , economics , artificial intelligence , ecology , financial economics , biology
In this paper, a class of ratio inequalities for the generalized Heronian mean of two numbers are established. Some Ky Fan type inequalities are also proved. We define the generalized Heronian mean in n variables, whose properties, including Schur-convexity, are investigated.
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